de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

4X^2+9Y^2-32X-36Y+64=0

Lösung

4 X^{2} + 9 Y^{2} - 32 X - 36 Y + 64 = 0

Lösung

(h, k) = (4, 2), a = 3, b = 2

Schritte zur Lösung

4 X^{2} + 9 Y^{2} - 32 X - 36 Y + 64 = 0

Rewrite

4 X^{2} + 9 Y^{2} - 32 X - 36 Y + 64 = 0

in the form of the standard ellipse equation

\frac{( X - 4 ) ^{2}}{3 ^{2}} + \frac{( Y - 2 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (4, 2), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (4, 2), a = 3, b = 2

Graph

Beliebte Beispiele

((x-1)^2)/(25)+((y+3)^2)/(100)=1

\frac{( x - 1 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{100} = 1

(x^2)/1+(y^2)/4 =1

\frac{x ^{2}}{1} + \frac{y ^{2}}{4} = 1

(x^2)/(a^2)+(y^2)/(b^2)<= 1

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} \leq 1

x^2-4x+4y^2+8y+4=0

x^{2} - 4 x + 4 y^{2} + 8 y + 4 = 0

3 x^{2} + 5 y^{2} = 15